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Finding the Fourth Proportional to 614.02, 847.11 and 404.30

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Solution

The fourth proportional to 614.02, 847.11 and 404.30 is: 557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.02 : 847.11 = 404.30 : x
  2. Step 2: Convert to fraction form
    614.02/847.11 = 404.30/x
  3. Step 3: Cross multiply
    614.02x = 847.11 × 404.30
  4. Step 4: Simplify right side
    614.02x = 342,486.57
  5. Step 5: Solve for x
    x = 342,486.57/614.02
  6. Step 6: Final answer
    x = 557.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.